Intro to Set Theory

We started today with the Quiz - we will certainly have quizzes when listed on the calendar but we may also have other quizzes and assessments that are not listed.  Be ready and on time!!

Today we saw the following new language:

• Set - a collection of objects
• Element - an object in the set
• Subset - a set that is fully contained within a larger set
• Complement - the elements that don't fit into the original set
• A is the Original set then A' is the complement
• Empty Set - a set with no elements in it
• Disjoint Set - 2 sets that have no common elements

There is a lot of notation we need to be aware of

A - is all of the elements in A

n(A) - is the number of elements in A

A\B - is the set of A that does not include any elements of B

B\A - is the set of B that does not include any elements of A

AUB = is the set of elements A OR B

HW:

1.2 P20 #1,2,4,5

1.3 P 32 1,4 and any 5 from 7-15

Day 1 - Off to a good start

Although today felt like a slow start it was a good way to get to know each other and begin to look at how thinking and communication mathematically can be just as important and challenging as number crunching.

A few tips for solving big puzzles:

• Look for patterns
• Letters may represent numbers in a pattern
• Coloured or shaded patterns may be used as well
• Break big problems into smaller chunks 
• Instead of trying to apply a strategy for 10 items to select, try applying strategy to only 3 items, then 4, then 5 etc
• There may not be an answer key for everything we do, 

Today we did our first assignment.  

• Create your own pattern or logic puzzle
• Assessed upon
• Can the pattern be found?  Does it work?
• Explain your pattern and how to find the next steps
• does your explanation clearly demonstrate how to find the next step?
• Complete your own pattern
• did you complete it correctly? at all?

Welcome to Summer School 2015!!!

This blog will help us keep in touch and on track to be successful this summer.
Check the blog for:

• the course calendar and outline
• Quiz and test dates
• links to support and extra practice

Day #	Date	TOPIC/ HOUR 1	TOPIC/ HOUR 2	TOPIC/ HOUR 3	TOPIC/ HOUR4
1	R2	Intros	Logic & Reasoning Intro	Logic Puzzles	Finding and Correcting errors in Puzzles
2	F3	1.1 Intro to Set Theory P14 #1-5,7,8,11,16	1.2  Basic Set Theory and Venn Diagrams P20 # 1 - 5	1.3 Intersection & Union of 2 sets Lesson	1.3 Intersection & Union of 2 sets P32 #1,2,4 and any 7 of #7-16
3	M6	Set Theory Qz 1	1.4 Application of Sets (3 Sets) Lesson	1.4 Application of Sets (3 Sets) P 51 #1,2,4,6,9,7	Probability 3.1 P 141 #2-4
4	T7	Set Theory Qz 2	3.2 Odds P148  1-6,9,10,14	3.4 Mutually Exclusive Events P176 1,3-9, 14, 15	3.5 Conditional Probability P188 2,3,4,7,9
5	W8	Probability Qz 1 (3.1 - 3.4)  Not 3.3	3.6 Independent Events P198 1,2,3,5,6,9,12,13	3.6 WP	Review
6	R9	Probability Qz 2 (3.5 - 3.6)	Review	Perms & Combs 2.1 Counting Principles P7 1-7, 9,11,13,16	Set Theory & Probability Test
7	F10	2.2 Intro to Permutations & Factorials P 81 # 1-12	2.2 WP	2.3 Permutations P93 #1-6, 10, 15 16
8	M13	P&C Quiz 1	2.4 Permutations with identical elements & Pathways P 105 #1,2,5,6,7,9,12,15,16	2.4 Name Assignment see Post on July 13	2.5 & 2.6 P110 #1& 2 P118 any 8 of #1-12
9	T14	P&C Quiz 2	2.7 P126 #1,2,5-7,10	2.7 WP	3.3 Probability & Counting Methods P159 #2-10, 12
10	W15	Review	Perms & Combs Test	Exp Fn’s 6.1 P337 # 1-3	6.2 P346 #1-7,11,18
11	R16	Exp Laws Intro	6.3 P 361 #1,2,4,5,6,7,10, 11,13,15,16	6.4 P377 #1,3,4,5,6,8,12,15	6.5 P395 #1-5, 7,10,12,14
12	F17		7.1 P420 # 1,2,3,6,7,8, 10,11
13	M20	Exponents Review	Exp Fn’s Test	7.2 P436 #1-4, 6-13 and P437 # 14,15	7.3 P446 # 1-7
14	T21	Logs Quiz		Using Calculator to Solve Log Functions & Problems 7.4 & 7.5 455 # 1-4,6,8,9*, 11-13, 15 P467 3,4,5,7,9	Characteristics of Polynomial Functions 5.1 & 5.2 P277 #1-4 P287 #1,3,5,6,8 P301 #3,4,6,5,10
15	W22	Review	Logs Test	5.3	5.4 P314 #3,4,6,8
16	R23	Review	Polynomial Functions Test	8.1 & 8.2 Sine Intro Class booklet	8.3 Sine Graphs P506 #1-5, 7-10, 14
17	F24	Sine Functions Quiz	8.4 P528 #1,10,12,18	8.5 P541 #2,3,4,(5 optional), 8,9	Review Solving Equations
18	M27	Review	Sine Fns Test	Solving Equations & Fractions Review	4.1 Equivalent Rational Expressions P223 #1,3,5,4,7-9,11 *** State Re-write test today**
19	T28	4.2 Simplifying Rational Expressions Class: Ex 1-7 HW P229 1-9	4.2	4.3 Multiplying & Dividing Rat Expn Class: Ex 8-16 HW P 238 1-7,9, 15	4.3 **** Re-writes 12:15 - 3:00 ****
20	W29	Rat Exp Quiz 1	4.4 Class: Ex 17-20 HW P249 # 1-9	4.5 Class: Ex 21-25 HW P258 1-7 & any 5 of 8-18	4.5
21	R30	Rat Exp Quiz 2	Rat Exp Review	Rat Exp Test	Class Ends @11:30